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发布于:2016-12-19 11:16:28   |   作者:[学院] 数学学院   |   浏览次数:2071
时间:12月23日(星期五)16:00-17:00
地址:清水河校区主楼A1-512
主办:数学科学学院
承办:数学科学学院
范围:全校

报告题目Finite Element Methods for Eigenvalue Problems

Prof. Jiguang Sun

报告时间:1223日(星期五)16:00-17:00

报告地点:清水河校区主楼A1-512

 

报告摘要:The numerical solution of eigenvalue problems is of fundamental importance in many scientific and engineering applications, such as structural dynamics, quantum chemistry, electrical networks, magnetohydrodynamics, and control theory. Due to the exibility in treating complex structures and rigorous theoretical justification, finite element methods, including conforming finite elements, non-conforming finite elements, mixed finite elements, discontinuous Galerkin methods, etc., have been popular for eigenvalue problems of partial differential equations. In this talk, we shall discuss finite element approximations for several typical problems including the Dirichlet eigenvalue problem, the biharmonic eigenvalue problems, the Maxwell's eigenvalue problem, and the transmission eigenvalue problem. In addition, a new algebraic eigensolver will be introduced. The talk provides an up-to-date overview of the finite element methods for PDE eigenvalue problems.

 

报告人简介:Jiguang Sun教授现任职于美国密西根理工大学数学科学系,1996年本科毕业于清华大学,分别于2001年和2005年在美国特拉华大学取得硕士和博士学位。目前主要研究兴趣为偏微分方程数值解、反问题、特征值问题和地球物理电磁方法等。在SIAM Journal on Scientific Computing 、Inverse Problems、Journal of Computational Physics等学术期刊发表论文五十余篇。